42736232448 has 960 divisors, whose sum is σ = 166486320000. Its totient is φ = 10606215168.

The previous prime is 42736232447. The next prime is 42736232479. The reversal of 42736232448 is 84423263724.

42736232448 is a `hidden beast` number, since 42 + 7 + 362 + 3 + 244 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42736232447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 286820278 + ... + 286820426.

It is an arithmetic number, because the mean of its divisors is an integer number (173423250).

Almost surely, 2^42736232448 is an apocalyptic number.

42736232448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42736232448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83243160000).

42736232448 is an abundant number, since it is smaller than the sum of its proper divisors (123750087552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42736232448 is a wasteful number, since it uses less digits than its factorization.

42736232448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 193 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 45.

The spelling of 42736232448 in words is "forty-two billion, seven hundred thirty-six million, two hundred thirty-two thousand, four hundred forty-eight".